Higher Plus
15th February 1980
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 121/sqrt(11), giving your answer in its simplest form.
- 3Inverse and Composite Functions3 marks
f(x) = 3x + 8. Work out the inverse function f^-1(x).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 2.5 m/s over 5 seconds. Work out the acceleration.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
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